Please help me ASAP.

Answer: x = 10

Step-by-step explanation:

The Pythagorean's theorem says that for a triangle rectangle with catheti A and B, and with hypotenuse H, we have:

A^2 + B^2 = H^2

In this case, we have:

A = (x - 4)

B = (x - 2)

H = x

Then we have the equation:

(x - 4)^2 + (x - 2)^2 = x^2

Now we need to solve this for x, first let's simplify it.

(x^2 - 2*x*4 + 16) + (x^2 - 2*2*x + 4) = x^2

2*x^2 - 12*x + 20 = x^2

2*x^2 - 12*x + 20 - x^2 = 0

x^2 - 12*x + 20 = 0

The solutions of this equation are given by the Bhaskara's equation, such that for an equation like:

a*x^2 + b*x + c = 0

The solutions are:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]

Then the solutions for our equation are:

[tex]x = \frac{-(-12) \pm \sqrt{(-12)^2 - 4*1*20} }{2*1} = \frac{12 \pm 8 }{2}[/tex]

Then the two possible solutions are:

x = (12 - 8)/2 = 4/2 = 2

Notice that if x = 2, then the length of the catheti will be:

A = 2 - 4 = -2

B = 2 - 2 = 0

This has no sense, so we can discard this solution.

The other solution for x is:

x = (12 + 8)/2 = 10

x = 10

Then:

H = 10

A = 10 - 4 = 6

B = 10 - 2 = 8

This solution makes sense, then x = 10.

Answer:

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Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

10(3x−4)=30−5x

Step 1: Simplify both sides of the equation.

10(3x−4)=30−5x

(10)(3x)+(10)(−4)=30+−5x(Distribute)

30x+−40=30+−5x

30x−40=−5x+30

Step 2: Add 5x to both sides.

30x−40+5x=−5x+30+5x

35x−40=30

Step 3: Add 40 to both sides.

35x−40+40=30+40

35x=70

Step 4: Divide both sides by 35.

 35x         70

____   = _____

 35            35  

x=2

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Really sorry if it is complicated

Answer:

Population: 30.32. Sample: 33.99

i have no idea what an outlier is maybe 1?

Answer:

2 is the outlier because if you look you cansee that 2 is the farthest away the other ones than the other ones!

Step-by-step explanation:

Answer:

4.1 kilograms

Step-by-step explanation:

A farmer sells 7.6 kilograms of apples and pears at the farmer's market. 3.5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

= 7.6 kilograms - 3.5 kilograms

= 4.1 kilograms

Answer:

1. Reflection

2. rotation and reflection

3. b', b''

4. 26.3

Step-by-step explanation:

1. It is like looking in a mirror. Its is being reflected across the y axis

2. It is rotated 90 degrees to the right. Then reflected over the x axis.

3. they are the same

4. It is the same as A" B" C" D" so the lengths are the same and you just add them.

Step-by-step explanation:

Answer: 200

Step-by-step explanation: 36 by 100 and then divide the total by 18 as follows: (36 x 100) / 18 For 200

Answer:

200

Step-by-step explanation:

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I hope

Answer:

H and K in the equations of a circle represents the coordinates of it's center point.

Step-by-step explanation:

The variables h and k represent the coordinates of the center of the circle

In the equations of a circle in standard form, [tex](x - h)^2 + (y - k)^2 = r^2[/tex].

The value of h corresponds to the x-coordinate of the center, while the value of k represents the y-coordinate of the center. The center of the circle is denoted as (h, k).

By specifying the values of h and k, we can determine the exact location of the center of the circle on the coordinate plane. These coordinates help identify the position of the circle in relation to the x and y axes.

For example, if the equation of a circle is [tex](x - 2)^2 + (y + 3)^2 = 16[/tex], the center of the circle is located at the point (2, -3), with h = 2 and k = -3.

Understanding the significance of h and k allows us to identify the center of a circle and provides valuable information for analyzing and graphing circles in the coordinate plane.

Therefore, the variables h and k represent the coordinates of the center of the circle

Learn more about circles and their equations click here

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Answer:

The only equation that would work is y=7

Step-by-step explanation:

Answer:

the surface area of the pyramid is 62.4 square centimeters

Step-by-step explanation:

The computation of the surface area of the pyramid is shown below:

As we know that

The surface area = 2bh

= 2 × 6 cm × 5.2 cm

= 62.4 square centimeters

Hence, the surface area of the pyramid is 62.4 square centimeters

Answer: the answer is C.

Step-by-step explanation:

Answer:

Might be C?

Step-by-step explanation:

I got D. wrong (The width of the new interval is about one fourth the width of the original interval.)

Answer:

D

Step-by-step explanation:

the median is 85, the mean is 85, the mode is 80.

it can't be A, B, or C. so it must be D.

Answer:

D  (x,5y)

Step-by-step explanation:

Answer:

3/4x=12

3=4x*12

3=48x

3/48x=1/16

x=1/16

Answer:

Let's talk through this a one step at a time.

*Since f(x) is concave-up with its vertex on the x-axis, we know f(x) ≥ 0.

*We also know that when we shift a function's domain by a positive number, we shift the function left and when we shift a function's domain by a negative number, we shift the function right. So f(x-5) is f(x) shifted to the right by 5.

*At this point, f(x-5) has its vertex at (5,0).

*When we negate f(x-5), the parabola becomes concave down yet the vertex remains at (5,0). Now we're at -f(x-5). At this point we have -f(x-5)≤0 with a range (-∞,0]

*If we add 2 to create g(x)=2-f(x-5), then we have a concave down parabola with its vertex shifted up by 2, at (5,2). So, g(x) is concave down with its vertex at (5,2). Hence

Step-by-step explanation:

Area = length×breath

=18×11

=198cm²

Answer:

198 square cm

Answer:

Number of months= 12 months

Step-by-step explanation:

Giving the following information:

One time fee= $20

Monthly fee= $7.5

Total cost= $115

To calculate the number of months, we need to use the following formula:

Number of months= (total cost - one time fee) / monthly fee

Number of months= (115 - 20) / 7.5

Number of months= 12.67

Number of months= 12 months

Given:

Consider the function is:

[tex]h(t)=-16t^2+100t+5[/tex]

This function is used to calculate how far the potato will be from the ground at any given second (t).

To find:

The value of h(0) and its meaning in the context of the problem.

Solution:

We have,

[tex]h(t)=-16t^2+100t+5[/tex]

At t=0,

[tex]h(0)=-16(0)^2+100(0)+5[/tex]

[tex]h(0)=0+0+5[/tex]

[tex]h(0)=5[/tex]

Therefore, the value of h(0) is 5. It means the potato is 5 feet from the ground at the time of shooting.

Answer:

It should be 1000 miles

Step-by-step explanation:

If you draw the picture out, you will find as the x-axis part is the same, so the distance will simply be 12 -2 = 10 units, and 1unit = 100 miles, so distance is 100 * 10 = 1000 miles.

Answer:

B. $ 320

Step-by-step explanation:

[8(3) + 4(2)]10

(24 + 8)10

320

Answer:

60 is your answer.

Step-by-step explanation:

x - 8 = 10

add 8 to both sides,

x = 18

substitute 18 for x in the second equation:

4(18) - 12 = 72 - 12 = 60

Please lmk if you have questions.

Answer:

the answer is

X + 40 + 155 =180

Answer:

y = 1/2x + 1/2

Step-by-step explanation:

y = 1/2x + b  [Parallel lines have the same slope but different y-intercepts]

-2 = (1/2)(-5) + b  [Plug in the coordinates (-5,-2) to find the y-intercept b]

b = 1/2  [Solve for b]

y = 1/2x + 1/2

Answer:

y= 1/2x + 0.5

Step-by-step explanation:

plug in the x and y values to get the y-intercept the slope stays the same. hope this helps! :P

Answer: 1/4

Step-by-step explanation:

Fraction of the box of candy bars sold at school = 1/4

Fraction of the box of candy bars sold to neighbor = 1/2

Therefore, the fraction that she has sold already will be:

= 1/4 + 1/2

= 1/4 + 2/4

= 3/4

The fraction of the candy bars that Kate still have to sell will be:

= 1 - 3/4

= 1/4

Kate has 1/4 candy bars left to sell

Step-by-step explanation:

1)90-50= 40°

2)90-25= 65°

3)90-80=10°

Answer:

$47.15

Step-by-step explanation:

41x15%=6.15

6.15+41=47.15

Answer: $47.15

Step-by-step explanation:

[tex]41 (1+.15)\\41 (1.15)\\= 47.15[/tex]

or you could do it in pieces

[tex]41(.15)= 6.15\\41+6.15= 47.15[/tex]

Answer:

slope is -2

Step-by-step explanation:

trust me :)

Answer: The slope would be -2

Answer:

r = [tex]\frac{l}{pt}[/tex]

Step-by-step explanation:

Given

l = prt ( isolate r by dividing both sides by pt )

[tex]\frac{l}{pt}[/tex] = r